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What formula can be used calculate the distance traveled by a robot

  1. Oct 13, 2011 #1
    1. The problem statement, all variables and given/known data

    What formula or formulas are used to calculate the distance traveled by the robot given the radius of its wheel/tire (R) and the degrees through which the motors rotated (d)? Use n to represent the number of rotations made by the motors. Show all steps and formula(s) required.

    2. Relevant equations
    s= distance traveled

    3. The attempt at a solution

    I used the equation to figure out that circumference multiplied by the number of rotations is equal to the distance traveled but I don't know where degrees fits into the formula.
    s=C x ρ∶where ρ is the number of rotations
  2. jcsd
  3. Oct 13, 2011 #2


    Staff: Mentor

    Is the motor attached directly to the wheel? If so, then one motor revolution means one wheel revolution. OTOH, if the motor drives the wheel through a gearbox, then you have to take the gearing into consideration.

    Assuming direct drive...

    2[itex]\pi[/itex] radians = 360 deg., so 1 deg = [itex]\pi[/itex]/180 radians
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